The Axisymmetric Migration of an Aerosol Particle Embedded in a Brinkmann Medium of a Couple Stress Fluid with Slip Regime

Authors

  • Shreen El-Sapa Department of Mathematics, Faculty of Science, Damanhour University, Damanhour, Egypt
  • Areej A. Almoneef ‎

DOI:

https://doi.org/10.29020/nybg.ejpam.v15i4.4549

Keywords:

Couple stress fluids, Slip and spin slips, Permeability

Abstract

This study examined the relationship between stresses and couple stresses within the context of the couple stress fluid theory. The application of the effective medium approach, based on the Brinkman equation, is also discussed under the effect of slip and spin slip on the surface of the solid sphere immersed in porous couple stress fluid. The motion is generated by moving a solid sphere at a constant speed. Using Stokesian assumptions, the equation of motion ignores nonlinear terms. The surface conditions for slip and spin slip of couple stress fluids have been applied. Tables and graphs are used to represent the normalized drag force exerted by the fluid flow on the solid sphere. According to the numerical results, the drag force increases monotonically with permeability and couple stress. As a result, the results obtained are consistent with those found in the literature for viscous fluids, and the special cases are determined.

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How to Cite

El-Sapa, S., & A. Almoneef ‎, A. . (2022). The Axisymmetric Migration of an Aerosol Particle Embedded in a Brinkmann Medium of a Couple Stress Fluid with Slip Regime. European Journal of Pure and Applied Mathematics, 15(4), 1566–1592. https://doi.org/10.29020/nybg.ejpam.v15i4.4549